Differential Calculus Questions Bank Online Exam Quiz

Differential Calculus Questions Bank GK Quiz. Question and Answers related to Differential Calculus Questions Bank. MCQ (Multiple Choice Questions with answers about Differential Calculus Questions Bank

If the parametric equation of the curve is given by x=aet sin?t & y=aet cos? t the value of frac{ds}{dt} is given by _____

Options

A : aet

B : 2aet

C : ?3 aet

D : ?2 aet

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For the curve y=a ,log ,sec(frac{x}{a}) what is the value of frac{ds}{dx}? (where ? is the angle made by tangent to the curve with x-axis)?

Options

A : cos ?

B : sec ?

C : tan ?

D : cot ?

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For the curve in polar form sqrt{frac{r}{a}} = sec?(frac{?}{2}) ,the, ,value, ,of, frac{ds}{d?} is _____

Options

A : r sec ?

B : r sec (frac{?}{2})

C : r sec (2?)

D : r cosec (frac{?}{2})

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If r=b e? cot?a, where a, b are constants then ‘s’ is represented by which one of the following equation?

Options

A : s=r sec(a)+c

B : s=r cos(a)+c

C : s=r+c

D : s=r tan(a)+c

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